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3 years ago

Write the equation of a line through points (5, 5) and (1, 0) in point-slope form

Mathematics

1 answer:

klasskru [66]3 years ago

3 0

Answer:

y=(5/4)x-5/4

Step-by-step explanation:

First we need to find the slope:

$\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

= $\frac{5-0}{5-1}$

=5/4

The SLops is 5/4

point-slope forum is

y=(5/4)x-5/4

(i think)

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What is the slope of a line perpendicular to the line whose equation is 3x-3y=54. Fully simplify your answer.

padilas [110]

Perpendicular = opposite sign and reciprocal slope
Make equation into y = mx + b
Add 3y to both sides
3y + 54 = 3x
Subtract 54
3y = 3x - 54
Divide by 3
y = x - 18
The slope is 1
Make it negative and reciprocal
= -1/1 = -1

Solution: the slope will be -1

7 0

2 years ago

Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One common ch

enot [183]

Answer:

$y=\frac{-7t^2+22t-7}{7t-22}$

Step-by-step explanation:

We are given that

Initial value problem

$y'=(t+y)^2-1$ , y(3)=4

Substitute the value $z=t+y$

When t=3 and y=4 then

z=3+4=7

$y'=z^2-1$

Differentiate z w.r.t t

Then, we get

$\frac{dz}{dt}=1+y'$

$z'=1+z^2-1=z^2$

$z^{-2}dz=dt$

Integrate on both sides

$-\frac{1}{z}dz=t+C$

$z=-\frac{1}{t+C}$

Substitute t=3 and z=7

Then, we get

$7=-\frac{1}{3+C}$

$21+7C=-1$

$7C=-1-21=-22$

$C=-\frac{22}{7}$

Substitute the value of C then we get

$z=-\frac{1}{t-\frac{22}{7}}$

$z=\frac{-7}{7t-22}$

$y=z-t$

$y=\frac{-7}{7t-22}-t$

$y=\frac{-7-7t^2+22t}{7t-22}$

$y=\frac{-7t^2+22t-7}{7t-22}$

8 0

3 years ago

Help on this please!!!!!!

mezya [45]

Answer:

Since the turkey costs $4.5 per pound and we need 2.6 pounds, we can simply multiply 4.5*2.6 to get $11.70 as the total cost.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

a pilot flying at In altitude of 1800 m spots in airplane in the distance he notices that the angle of the depression from the p

kogti [31]

Let x be the distance between the plane and the airport.
We have,
Angle of depression = 22°
Altitude = 1800 m
Sin 22° = Opposite/Hypotenuse
=> Sin 22° = Altitude/x
=> Sin 22° = 1800/x
=> x × Sin 22° = 1800
=> x = 1800/Sin 22°
=> x = 1800/0.3746065934
=> x = 4805.04089 m

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3 years ago

The new video came console was priced at $400 when it was released last year. This year, the price decreased by 15% during the h

Eva8 [605]

Answer:

Step-by-step explanation:

15% off means 85 % of original price

400 * .85 now increase this price by 25%

400* .85 * 1.25 = $425

8 0

2 years ago